Explicit lifts of quintic Jacobi sums and period polynomials for \(\mathbb F_q\)

DOI10.3792/pjaa.82.87zbMath1116.11093OpenAlexW2076272501MaRDI QIDQ883656

Akinari Hoshi

Publication date: 6 June 2007

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1160485503

zbMATH Keywords

Gauss sumsJacobi sumsGaussian periodsDickson's system

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24) Cyclotomy (11T22)

Related Items (6)

Ideal access structures based on a class of minimal linear codes ⋮ On period polynomials of degree \(2^m\) and weight distributions of certain irreducible cyclic codes ⋮ Explicit factorization of some period polynomials ⋮ Complete weight enumerators of some irreducible cyclic codes ⋮ Trace description and Hamming weights of irreducible constacyclic codes ⋮ Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods

Uses Software

• Mathematica

Cites Work

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